{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0fa740f1-c990-42ce-ad7c-4153acf6de13",
   "metadata": {},
   "source": [
    "Chapter 06\n",
    "# 质地均匀的硬币\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "37e9ac51-7bbe-486f-8c6e-7af8bcb250b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "385c65d6-7484-41f6-b7d4-5821ff0e8ec4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 抛硬币实验的次数\n",
    "num_flips = 1000\n",
    "\n",
    "# 用于存储每次抛硬币的结果\n",
    "results = []  \n",
    "# 用于存储每次抛硬币后的均值\n",
    "running_means = []  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "df6e18d4-c89e-475c-8443-cc3fc88969ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "for _ in range(num_flips):\n",
    "    # 随机抛硬币，1代表正面 (H)，0代表反面 (T)\n",
    "    result_idx = random.randint(0, 1)\n",
    "    results.append(result_idx)\n",
    "\n",
    "    # 计算当前所有结果的均值\n",
    "    mean_idx = statistics.mean(results)\n",
    "    running_means.append(mean_idx)\n",
    "   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "298b121e-6403-4738-8b0d-4ccf226687f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " \n",
    "# 可视化前100次结果均值随次数变化\n",
    "visual_num = 100\n",
    "plt.scatter(range(1, visual_num + 1), results[0:visual_num],\n",
    "           c=results[0:visual_num],marker=\"o\", cmap = 'cool')\n",
    "plt.plot(range(1, visual_num + 1), results[0:visual_num])\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Result\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1956d5d0-09ab-4841-b4be-aae9e0713e4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MTBS7CXcE1tk5WGfnYa2dw951Lisrs3pfm8PNxo0bsWbNGvTp0wejR49Gz5490bJlS4SHh+Orr77C8OHDbTrfjSscC4JQ56rHRqMRMpkMX331Fby9vQFUDW3985//xJIlS2rtvZkxYwYSEhJMj4uKihAaGoq4uDibhtBuRafTYUnqH2bbBg4caLfz03U6nQ6JiYno16+fxdV6ZD+ss3Owzs7DWjuHo+pcPfJiDZvDTX5+PiIjIwFUza+pvvS7R48eeP75560+j7+/PxQKhUUvTU5OjkVvTrWgoCA0b97cFGwAoG3bthAEARcvXkSrVq0sjlGr1VCr1RbbXVxc7P7NfWMk4w+PYznia0iWWGfnYJ2dh7V2DnvX2ZZz2byIX1RUlGkBv3bt2uF///sfgKoeHR8fH6vPo1KpEBMTY9FtlZiYiG7dutV6TPfu3XHp0iWUlJSYtp06dQpyuRwhISG2vREiIiKSJJvDzbPPPou//voLQNWQz9KlS6FWqzFlyhRMmzbNpnMlJCTgs88+w8qVK3H8+HFMmTIFGRkZGDdunOn8I0eONO0/bNgw+Pn54dlnn0Vqaip27tyJadOmYfTo0XVOKHYmrnNDREQkPpuHpaZMmWL6f9++fXHixAkcOnQILVq0QKdOnWw619ChQ5GXl4d58+YhKysL0dHR2LRpE8LDwwEAWVlZyMjIMO3v4eGBxMRETJgwAbGxsfDz88NTTz2FN954w9a3QURERBJVr3VuKioqEBYWVueCe9YYP348xo8fX+tzq1evttjWpk0bznQnIiKiOtk8LGUwGPD666+jefPm8PDwQFpaGgBg1qxZWLFihd0b2JjUcZEXEREROZHN4ebNN9/E6tWr8fbbb0OlUpm2d+jQAZ999pldG0dERERkK5vDzZo1a/Dpp59i+PDhUCgUpu0dO3bEiRMn7No4IiIiIlvZHG4yMzPRsmVLi+1Go/GOX9Kao1JERETisznctG/fHrt27bLY/u233+Luu++2S6OIiIiIbpfNV0u99tprGDFiBDIzM2E0GrF+/XqcPHkSa9aswc8//+yINhIRERFZzeaem0GDBmHdunXYtGkTZDIZZs+ejePHj2Pjxo3o16+fI9pIREREZLXbWuemf//+6N+/v73b0ujxUnAiIiLx2dxzQ3VjtiEiIhKf1T03UVFRVu1XvagfAYIgQMbuHCIiIqeyOtycO3cO4eHhGDZsGJo1a+bINkmGUQAUzDZEREROZXW4Wbt2LVatWoVFixZhwIABGD16NAYOHAi5nCNb1W7MMQajAIWc6YaIiMiZrE4mTz31FH799VecOXMGMTExmDJlCkJCQjB9+nScPn3akW1stIyCIHYTiIiI7jg2d7s0b94cM2fOxOnTp/HNN9/gwIEDaNOmDQoKChzRvkbNYGS4ISIicrbbuhS8oqIC3333HVauXIkDBw5gyJAhcHNzs3fbGp0b5w4b2HNDRETkdDb13Bw4cADPPfccAgICsGjRIjzxxBPIzMzE2rVroVarHdXGRsvInhuSIJ3BCKNRwMWCMvx5Ll/s5jQYF/LLsGTbGfyeehnCtT9scooqUF5pAFBVNyJyDqt7btq3b4+cnBwMGzYMu3btQseOHR3ZLkngsBTdit5gxB8nciAIwANtmkGlrPp7w2gUILdxMrrOYISLQo7vki7ipW//gkIuw6+TeqJ1gKdpH4NRwIG0PESHeCO/pBLhfm4oqzTgm4MZKKs0oFUzD/Rq3RT5pZUI9HSBUYDpgxoADmcUYNjy/ajQXf+gfqxzMF7s2xKtaryOvRSUVkImA3zcVHY/d33sT8vD9pNX8PPfl1BYroPBKKDsWoi5UaCXBt1a+OGnvy7hiXuaY87g9igs1+HbQxfRr10AWvq7AgDO5ZVi/7lCXLpajiExIYhq6uHMt0Q30OoNKKnQw89DjVKtHqcuFyOkiRsyr5Yjs6Ac7YO94KZS4ND5AgR5a9ApxMfmn1lyHKvDzfHjx+Hu7o41a9bgiy++qHO//Hz+JVeNw1JUl/1pefhsVzp+P37ZbPv8Jzpg24kcHMksxOpn78VdgdYFhq0nLmPSNyko1upN2wxGAc+u+hM/vNAdO05dwZJtZ5CeW2p1G1/oE4W1yQosP78fEx9shUlrU6DVW/Y+/JhyCT+mXMKz3SMwtmcUCkorcVegJ1wU9buScvPRbExZlwKlXIZPR8aiaws/03M6gxE/pVxChxBvs/Bmb1q9AZ/tSseafedwuUh7W+fILqrA+uRMAMD/Dl3En+cKcKVYixKtHh/8cRptAj1RXKRA5oG90F/7g2j1nnOY8GBLxLULQMtm199fhc4AtVIuqfWzSrV6uKtva4ZEvegNRvxyJAvLd6WhsFyHlk09cDK7GLmlldAo5SiqqPpZUinlqKzl+14hl0EuA3SGqq9ZVFN3hDRxQ6CXGv/uGeWQsE/WkwmCdZ/An3/+uVUnjI+Pr1eDHK2oqAje3t4oLCyEl5eX3c6r0+nwz/c246/867/Q9894EIHeGru9BlXR6XTYtGkTBg4cCBcXF7GbA6DqQ+frAxno1bopWjar+y/uzKvlWLErHSv3pN/ynFFN3bHxxR63/MWfdD4fw5YfqDV4AIC/hwq5JZW3fD1r3RXgia4t/BDq64a8Ei2Wbj9rsU+XiCZY9ey98KjR9vN5pVi+Kw2pl4rwSMdgPNCmGVwUMoQ0MZ+vJwgCPtx6BosST5lt99IoTR841TQucswbHI17wpsg2EcDGWRQKmSmYPVDciamfvsXDEYBkx5shTBfNxzPKsI/Y0OQVViBLhG+pjZW6AyoNBjhpan6njp9uRgTvknGieziOmvRs5U/KvVGlOsMeLZ7BB7r1BxHLxXis13pUMplGNAhCH8cv4wT2cV48p7m+HDrGeQUV4Ukfw81ckusC0xeGiWaeWlwLrcUeqMAD7USJVo9vDRK/Kd3C0T4uWPv2Vw0cVPhsc7B8HZzgZtKaVZ/sWj1Blwt0+FoZiEi/d1hMAr4dGcazl4pQWG5DmevlMJDrcTjdwdj8kOt4e9x6ykOV8sqYTAK8Ktj33O5pbhYUI6/M69CpZBD7aKAt6sLuoR5Ydn6rTD6RmDn6Txk5Jfd1ntyUchMoUYhl1n00stkwMPtA9ElwhdqFznUSgVCm7giNsLXYnkQQRBwNLMIGhc5opp6YOepKygs16FdsBdaNPWAQi5DiVaP75MuYn1yJnxcXfBcryh0a+HXYEOuo35H2/L5bXW4kQpHhpsh721GSo1ws/uVvha/uKn+GmK4mbnhCL46kAEAeLxzMMJ83dA2yAsDOgSZ9snIK0Pc4h1mQzoAsPDJDiirNGDuxlQAgPzaMEx+aVUg+fiZe1BYrkNeaSXCfN0Q1y4QKqUcF/LLMGP9Eew+k2s6l0ohx5MxzfHm4x2QlluKJ5buMQsEkf7uiO8ajpQLV+GikOPbpItwUymw9rn70aKpBw6ey0di6mVcyC/DrtO5CHUXUAoV8kt1AIDn+7TA5IdaQa1UmM5ZotXj1fVH8NNflyzqEhPeBDnFFbiQX15r3VRKOYbEhOCuQE8081Tjvkg/zPrxKH7+OwsAMKpbBLILK7D5WLbFsTIZYI/fXl4aJZo3ccP5vKpercc6N4dCDnx76KIpMDb3cUVTTzUq9UYEemsw+aFWiA72tnkYIrdEiw//OI2WAZ4Ydm8Yvj5wHgs3n4SbTIc5/7gb/TsEQwbgs91peGvTiXq/N6Vchq4t/KBxUeChts3waMdg7Dubh6SMAnhpXLAh+SJyirW4K8AT4/u2RGG5DveE+SDAS3PLnjdBELDtZA6OZRbBQ6PE7tO58PNQYXCn5sgqLMfRzEKkZhXhr4uFtfZ81MZTrcQDbZvBTaXEhfwyNPVUI9LfHfmllTh2qRAaFwWSzhegrNIAlUKOdsFe6BjijdwSLbILK6BSynH6cgnySq0L877uKgyJCYHaRYGLBWW4O9QHTT01KNHq0aKpO3zdVTicUYAgb1d0DvXBlWItQpq4QiaT4dTlYhiMAtoGeaGgtBJf7D+P7KIKZBaUY8epK3W+ZusAD7QP9sbZKyXILqwAAFPg9XNXWbS9uY8rrpZVorSWYU8XhQz92wdiTI9IVOqNaNHMw6pw6GgMNyJwZrjZOa0vwvwcE270BiPGfH4IwT4azH/izpr/1NDCzZZj2XjuiySL7Uq5DAue7IjOod7QuCjw3JokpGYVAQC6tfDDwic7ItT3+veHzmDEyt3paB3oCQ+1EkM+3lfr6/Vu3RTTB7TBf75IMv3leU+YD74cex+Ucrlp3g4A7Dubhzd+ScXT94Zh+H1hVv+lJwgCks/nIT15D+7p3hd/XyrGgOggs3PfKLdEi68PZMDb1QX/3XISxTf0sthCKZfh9cej8fS9YTAYBSz49Th+/jsLCrkMhWU6dAr1wexB7bBydzrW/nmhzvPIZECvVk1hFATsPZtn8zy43q2b4p0hHdHM03E9sHV9P1foDDh2qRDr/ryAzKvlMBgFPNw+EH9dLESJVo82gZ44l1eGjbWEyvry91ChS4QvArw0GHZfGIK8q8KOxkUBrd6A05dL8MYvqdifdnvTENoEesJTo0SbQC880KYZdp6+gj1ncnHqcomd34kluUxAi6YeePrecPzr3lC4qezfu3U0sxDLdpxF8vkCVBqM0OqNN/150LjIoTMIMBgFuLoooFLKUViuM9snqqk7RtwfjvN5ZVj7Z4bFH0nVIvzc0L99IDKvlmPHySvoGOoNhVyOQ+fy0cxTjSfvCcHgzsFIzy1FalYRTmYXQ28UUFSuQ+/WTTG0Syg8Nbf+vVqi1cNgEKBQyKCUy6Bxuf4HT2VlJTZs/BVPDGa4cRqHhpvFm5GSd/2X/7aX+iDS391ur1HT4YwCPLF0LwDg6Nz+OJldhCEf70OAlwZfjr0PBqPg0LkIYrJ3uMkurMDyXWmI7xqBMD83nMstRU6xFvdG+t7y2MtFFXh48U4UlOkQE94ESedvvt6Tn7sK7z7VCT1a+kN5i7+Mvz6QgVc3HLllG9oHe+GrsffZfdJtfep8MrsYU79NwdHMItO2+K7hmDGwLTQuCmw7kYMrJVrsT8vD+sOZZsf6uquwbPg9uC/K78bT1urS1XLklVTi578vwVOjhEwmw9fXetHeeqIDerduCgC4WFAGlVIOXzcVdp6+gpAmblh/OBObjmQhI78MY3pEQimX4ZOdVffHm/1oO4zqFuHwSaL1/X42GAXojUaolQroDUZculqB0ko9sgrL8UPyJRy9VNVzcrmowjSUIpMBHiolOoX6wEUhQ1ZhxU2H34Cqr0v3lv5mYUomA+QyGdxUCrRo6oG0KyWmnkJ/DzXuCvTAk/eEoE2gF+4K9MTJ7GLIZEDbIMvfvUajgO8OX8QnO85Cqzci+FqPxanLJWgd4IGWzTxQoTOiWws/dA71QXGFHl8dyMCZnGK0aOoBN7USeoMRrQI8MSQmBH4eKrPgYjQK+CsjH2cO78bjg5z/h1GFzoCLBWXYdCQbJ7KL0DrAE808NZDLgIejA1FcocfZKyW4L9IPrioFSrR6pGRcRVpuCSL83NGjpb/pe7GwTIfz+aW4UqzFjymX8PPfl2Cv61dcXRTwdVdBLgeCvFyRX1YJd7USTT3UCPRWQyGTIS23FAfS8009ch5qJdoFeaGoQoerZTqU6/QIVlfip6kPM9w4iyPDzVOLNyO5Rrj5PaH3Tedf3C6jUcA7W05i2bW5Dhtf7IHnvjiErGtdnNW+f74b7gnzwao953Ayuxjj+rRwWNhyJnuGmwv5ZZjwTTJSLlxFp1AfrIiPRdx7O5FfWok1o+9Fr2sfjDe6dLUcRkHAK9//jT1n8tA+2Avrx3eDSiHHpzvTYBAELNt+1uKvta/H3oduLf2tbl/1hNZ2wV6IDvbGr0ezMPvHYwAAHzcXrH++m8OuqrFHnauv4LoZo1FApcGIC/ll+PVoNv5xd3OzHi0xOPOmt87qibxSrEV6binC/dzQzFMNg1EwC9hZheVo4qbCqcvFSEy9jC/3n0dBma7O8z3eORgv9b8LzX1czc6VV6KFl6tLvSeUO0JD6/W1F63eAKVcjqOZhUg6X4D9aXnw81BjUMcg7D2bB5ms6o+gS1cr8F3SRaRmFUEhl6F9sBdaNvOASiGHp0aJrSdycPaK9Rcd3IxKLmDf9Afg52W/n2VbPr/Fn20mYY66/cLXBzNMwQYAzl4psQg2ALD2YAYqdAbM+7lqLseGlEycemOAxX57z+ZCIZNZ/ZeyVGw9cRmjVx8yPf7rwlXEvvG76fHsH49i8+RecFHIzSYB/nYsG/+pMQylcZHj/X/dbZqH8p/eLQAAA6ODsCE5EznFFbhcpMWwe8NsCjYAoFYq8ELflqbHI7tGoH2wN1IvFaJvm2YNfk6XNR9wcrkMGrkCrQI8G8wVJg11omZ9NPVUo6nn9fkYyhvu6hvkXXVJescQH3QM8cHUuLsAVP1+KNUakJ5bgkPnCvBY5+ZoG+RpFqprnquuSb7kONW/ezqF+qBTqA9G94g0PXfj75xnu0egqKJqMvqN3+czBrTF7jO5yCosh94o4HJhBZq4q1BSoUdeaSWyCytgFAS0aOaBh9sHwsetarmIjPwyHD5fAC9XF/i4ukCtAIrPJsHLVbwAyXDjQI5a5+atTcfNHp/JqX2cukxnwPGs68MClXqjxWWXeSVaxK88CJlMhj9nPgTvOr4Zf0zJxMa/LmF090ibP6AbghKtHoZrV5kIgoDp64/gu6SLpufbBnmZ1aqJmwvO5ZWhzazNUCnlcFcp4KZSQqs3WFx5NOvRdrX20EX4u2NKv9Z2fy8x4U0QE97E7uclqk23FtU/7wF4rpeoTSE7kMlkdf6el8tldfZW30ykv7tp+Be41kN2/rabaBc2h5uEhIRat8tkMmg0GrRs2RKPPfYYfH1vPV9B6py1iN+B9Lxat5/IKoLqhr+c/75YaLZeyMH0/Gvj8AK+3H8e/h4qPBUbapboswrLMWltCgDg9+M5ODa3vyjrUtyu9NxS9P3vdgBA//YB6BrlZxZsxvVugYkPtsTL3/2Nn//OwpxB7eDrocbEb5IBVIXCSr3Roou+U6gPHu8cjGH3hjntvRAR0a3Z/AmVnJyMw4cPw2Aw4K677oIgCDh9+jQUCgXatGmDpUuXYurUqdi9ezfatWvniDY3WDd2ZDtqWOrG1zl0bRJrpL+72SJtabmlFjPqUy5cNQs3+9OuB6N3fjsJoOry3H/cHWLa/vvxHLNz7Dp9BQ9HB0EMXx04j7UHM/B4M+uPWfDr9Z6u345dxraT1y/TXDkqFg+0CQAAfDTsHnw0rGq7IAj4358XzC6zrmnLlF6SnbBNRNTY2RxuqntlVq1aZZrQU1RUhDFjxqBHjx7497//jWHDhmHKlCn47bff7N7gxsQRPTdavQFluqr1Dnzdq9ZCqc5QrQM8IJfBNCFMEKoWjQOA53pF4dOdaUi5YH41z4F0y0s5fz+eYxZutp8wDzdbUi+LEm6ullXirV+Oo7TSAGWFHCOtOObQuXz8dsx8FeBKvRHtgrzw/fPd4KpS1HqcTCbDsmfuwd6zeYjyd8fZK6VwUylgEAT0vcuGZEVERE5nc7h55513kJiYaDZT2cvLC3PmzEFcXBwmTZqE2bNnIy4uzq4NtbvSUkBR+wfbbdHpoK6sgGvl9WGgkvxC6HyUtU6qLK801PnBWpcKnQGnc4qh0VbAXaXAgcm9EfN6ommhsfbeCsx7sAP2peXh5yNZ2HO6qtch2EeDfmHu+KKyAqlnsmAsLoEAoLBch/MZV+B6w+ucSsuqqs+11zx8/CJcdUbMGNAG8389gT0p51ERF2W2rsGtVOqNUMhlFqtzWktnMGLV1tMwlpTCFcDJLAFnz11Gm+AmpqttFHIZKvVVV+eolHIIgoB3NxyGa2UF/hnTHC/FtcHD7+9EYbkO8x7qCFddBVD3xSDwBNA/oqp3ppVHjV6aUvtcTdDg6XRQVFRUvV8JXVnS4LDOzsNaO4ej6mzD716bLwX38PDAzz//jD59+pht3759OwYNGoTi4mKkpaWhc+fOKCoqqv0kIjJdSgbAfheCExERkSMVAfAGrLoU3OaFCB577DGMHj0aGzZswMWLF5GZmYkNGzZgzJgxePzxxwEABw8eROvW9r9KhIiIiOhWbO65KSkpwZQpU7BmzRro9VULlCmVSsTHx+O9996Du7s7UlJSAACdO3e2d3vrzdRzc+mS3Rfxe3ZpIpJyLfPi1qm9EeRzffCn7azNAIDY8Cb4Yux9Vp3/u6QLmPXDMdPjEV3D8OrAdvjgj9NYtv0sXBQyHPq/fqbl8c/nluLh93cBAFbEx6JbS3/Evbej1nv8/PepTnjk2j2Qlm07gw+2nsFD7Zrhw6fvwYD3d+Jcbhk++Nfd6Nc+AH8cv4wXv666iqhDiDf+95+uAKqGr9Yfvoh+7QJxuaiizlsHAFX3Supdx7yVQ+fyMWLFQdPj/3ukLb46cB7puWWm99Il3Bv/+jARqQW3zuberi74Y2rvRnV1V0Oh0+nw22+/oX///pJa8KyhYZ2dh7V2DkfVuaioCN7BwY5ZxM/DwwPLly/He++9h7S0NAiCgBYtWsDD4/o6Hw0x1Fhwd6/6Zy86HSrVGpSrLD9w9a5ugPv1xdbKVVX3qSlTaaxuQ4ZWbjoOAAyuVe2PCG+GclUmwgI8ofK+Pi8k1NUNwc39UFiuQ4e7ggGNC96O74bHl+yxOHeXdiGAe9W5u3YKx8LdF7HxTBGK1h3D8SIjlBpX3N8xFNC44MHYKCxQqjFpbQoO5miRqZOjuY8r3tt0HJ/sTMeSg9lVk5hVdd+LJ/5/qUh7q/Zl7Wf8dsjsfc5MrLp7truHO/ZOfxDebi7Q6XToE6VC0pHr376THmyFEq0e0/rfhceX7DEtJT9rcAe4+3pbVWO6gU4Hg+ba9yg/CByHdXYe1to5HFVng+XNQ+ty23/Oenh4oGPHO+uGjbdS11RZbR13xLXlUvGLBWVmj4fdV7W2Sr+2ARgaG4r+0QFmz8vlMqwf3x0Go2C6CVrnUB+sfe5+/OvT/Wb7NvO6HiY6NL8eBKrvbNslwtfsRmqPdW6Orw5k4GB6Prov2Ip1z91vuh9P9dVZN3ri7ubYefqKaQG8naevoE+N3puC0kp0XfBHnTeD+8c9zeHtdr0NYR7A3EFtsXz3ObwUdxcev7u56bkVo7pgzd5zaBPkicc7N6/tdEREJGE2h5vS0lIsWLAAf/zxB3JycmA0mn8YpaWl2a1xjU1dK7ZX1hlurD/3xYKq0PDM/WGY+EArUyBxVSmw8J+1h8zaVqGMDW+CQZ2C4ePqAgEC+rULNHteIZfB30Nltgpv3zaWK1YOjA7EwWuXkQ+9ISxVWzr8HhxMz4dSLsPkfq2RX1KJF74+jCOZhfhi33lTuKl5E1AA6Brlh2+eux8bki9iyrq/EOrriskPWc7hGnZvKOK7R1lsb+7jihkD29baJiIikj6bw83YsWOxY8cOjBgxAkFBQZK8B8vtqrvnxlDr/402pJvMa+HmH3eHmPW02EqpkOPDp+++6T4r4rvgsRrDV7Wt6/JwdBDmbEyt8xzfP98NMeFNMLDD9fVwPNRKvP+vznjg3R3YejIHF/LLkHLhKiZcWwm42vQBbQBUvdea6+0QERFZw+Zw8+uvv+KXX35B9+7dHdGeRs2anpuad4nWWxlu9AYjsouqbowZ2uTGVWnsr1OoD7ZO7Y1+7+1EpL97rfdNCvTWYN1z95v12sx/ogOeig296Vo2UU090LOVP3adzsXgj3ab3dJAIZfh8P/1Mxt+IiIispXN4aZJkya8b1QdrJlzU1Ij3BRX3GQFuRqyCitgMApQKeXwd9Idd6OaeuDXST3h4+pSZ+/cfVF++G5cV8z+8RgebNvslsGm2jP3h2PX6VyzYNMlogk+fiaGwYaIiOrN5nVuXn/9dcyePRtlZWW33vkOU9fHes2emxLt9XBTWG5duKmebxPi41rrFUaO0jrA85ZDYLERvtg0qSemxt1l9erDD7YxH+aKCW+Cz+K7wM9JwY2IiKTN5p6bd999F2fPnkVAQAAiIiIsrmE/fPiw3RrX2NQ1LKXVG1FWqUdBmQ6l2po9N3oYjMItQ0H1lVLNnTAk5QxKhRyrn+2Cqf/7Cw9HB+K1Qe1N6/MQERHVl83hpnoVYrJUZ8+NwYCH3t2BS4UVmP2o+Z3Siyt08HFT3fS81T03zX2kEW4AoM9dzZA0q5/YzSAiIgmyOdy89tprjmiHJNTZc6Mz4lJh1YTgX45kmT1XWH7rcJNVKL1wQ0RE5CgcC7Cjunturs+5Kbphno01826yi7QAgADv278EnIiI6E5hVc+Nr68vTp06BX9/fzRp0uSma9vk5+fbrXGNTV1JUVtj1d2iitsIN9d6boIYboiIiG7JqnDz3nvvwdOz6r5FixcvdmR7GrW6Ml9Z5fWF+4rK9WbPWRNusq4NaTHcEBER3ZpV4SY+Pr7W/5O5uvqzavbWlOvMb/x1Y9i5UalWb1r4L9Cbc26IiIhu5bZunGk0GnHmzJla7y3Vq1cvuzSsUaoj3dysd+ZWPTfVKxN7qJXwUN/2fU6JiIjuGDZ/Wu7fvx/Dhg3D+fPnIdxwV2uZTAaDDbckl5q65tzUK9xcG5IK5JAUERGRVWwON+PGjUNsbCx++eUX3jjzBnVVorYAE+ilQXZRxS3DDefbEBER2cbmcHP69Gl89913aNmypSPa06jVlfNuvPwbAIJ8qsJNbc/VdPnasFRgPe4ETkREdCexeZ2b++67D2fOnHFEWxo9GWq/y3dtvTPB1xbku1peCQA4dC7fdJuFmqoX8OOwFBERkXVs7rmZMGECpk6diuzsbHTo0MHi3lIdO3a0W+Mam7p6bmoLN6FN3AAAeSWVOJldjH9+vA8AcG7BI2b7cc4NERGRbWwON08++SQAYPTo0aZtMpkMgiDc8ROK65pzU3Odm2phvlXh5kqxFv0X7zRtr65jNc65ISIiso3N4SY9Pd0R7ZAEW+ZWV4ebvNJKs+2ZV8sRcq1XZ9GWkzh2qQgAEOjFNW6IiIisYXO4CQ8Pd0Q7JMGW68ZCfWsPKz0WbsPe6Q8g2McVH2y9PreJw1JERETWua1V4U6dOoXt27fXuojf7Nmz7dKwxsiWcNPEXQV3lQKltQxZrf3zAhL6tTbf383FYj8iIiKyZHO4Wb58OZ5//nn4+/sjMDDQbH6ITCa7s8ONDenGXaWEr4cKpfnlFs9pdQZo9eahh+sJERERWcfmcPPGG2/gzTffxCuvvOKI9jRqNePH/Cc6INBbg2dX/Wmx37tDOkEhl8HXXY0LtYSbcp0BeSXX5+LwtgtERETWs/lTs6CgAEOGDHFEWxq9mp0r3Vv417n6cIS/OwDAz11V6/MFZTrklmhNj3+Z2MN+jSQiIpI4mxfxGzJkCLZs2eKItjR6NYspkwFqF8vyuqsUaBfkBQDwrSPcZF0tx5XiqnDTobk3wv3c7d5WIiIiqbK556Zly5aYNWsW9u/fX+sifhMnTrRb4xqbmj03MhmgUpiHm7E9IjE17i64qhQAzHtu5DLAeG2B40PnC/D5vvMAgKaeasc2moiISGJsDjeffvopPDw8sGPHDuzYscPsOZlMdkeHm5rkMhlcVebhxl2tNAUbAPDzuB5upsbdhR2nruBgej4AYOepKwCAph4MN0RERLbgIn52VHNCcVW4UZg9f+Mwla/79eAS6KXBN/++Hy1e3WS2D3tuiIiIbGPznBt7W7p0KSIjI6HRaBATE4Ndu3ZZddyePXugVCrRuXNnxzbQBnKZ+f9dXW4IN0rzxzWHpbxdXaCQW17uzXBDRERkG5t7bmreU6o2K1eutPpc69atw+TJk7F06VJ0794dn3zyCQYMGIDU1FSEhYXVeVxhYSFGjhyJBx98EJcvX7b69RytZjSRyWRwUcjhopBBZ6iaTKNS3thzcz3ceLnWvkifP4eliIiIbGJzz01BQYHZv5ycHGzduhXr16/H1atXbTrXokWLMGbMGIwdOxZt27bF4sWLERoaimXLlt30uP/85z8YNmwYunbtamvznaa6E0ZTo/dGfZNw411HuGHPDRERkW1s7rnZsGGDxTaj0Yjx48cjKirK6vNUVlYiKSkJ06dPN9seFxeHvXv31nncqlWrcPbsWXz55Zd44403bvk6Wq0WWu31NWOKiqpuRKnT6aDT1b4Oze3Q6XRmV0sZDHrodHK4uShQXKEHAChlgtlreqmvH6CAETqdDk09VLhSYwG/Jq5yu7ZTCqrrwbo4FuvsHKyz87DWzuGoOttyPrssfSuXyzFlyhT06dMHL7/8slXH5ObmwmAwICAgwGx7QEAAsrOzaz3m9OnTmD59Onbt2gWl0rqmz58/H3PnzrXYvmXLFri5uVl1DutdDyt//P473JSAQacwbT/6VwoUF5PNjri3qRxleuDo/u04JgNGRACLjl5/b4f37kCq+VQduiYxMVHsJtwRWGfnYJ2dh7V2DnvXuayszOp97bau/9mzZ6HX620+7sZ7JgmCUOt9lAwGA4YNG4a5c+eidevWFs/XZcaMGUhISDA9LioqQmhoKOLi4uDl5WVze+ui0+mw78vfTY/j+vWDl6sLlqXvQ252MQCg232x6N26qdlxA2s5V48ehXji4wMAgH88OoD3lbqBTqdDYmIi+vXrZ7HOEtkP6+wcrLPzsNbO4ag6V4+8WMPmcFMzKABVYSQrKwu//PIL4uPjrT6Pv78/FAqFRS9NTk6ORW8OABQXF+PQoUNITk7Giy++CKBqOEwQBCiVSmzZsgUPPPCAxXFqtRpqteW8FRcXF4d+c6tUVed3q3E5uJtaZdVr3hPhj1cHtkGwjytUqtpXMSbHfw2pCuvsHKyz87DWzmHvOttyLpvDTXKy+bCKXC5H06ZN8e67797ySqqaVCoVYmJikJiYiH/84x+m7YmJiXjssccs9vfy8sKRI0fMti1duhRbt27Fd999h8jISBvfiWPJr/W2uKmul7i22zHU5bleLezeJiIiojuBzeFm27ZtdT6XmZmJ5s2bW32uhIQEjBgxArGxsejatSs+/fRTZGRkYNy4cQCqhpQyMzOxZs0ayOVyREdHmx3frFkzaDQai+0NQXW4Mb9aipNniIiIHM0uc26ys7Px5ptv4rPPPkN5ebnVxw0dOhR5eXmYN28esrKyEB0djU2bNiE8PBwAkJWVhYyMDHs00emqp8nUHJa68VJwIiIisj+rP22vXr2K4cOHo2nTpggODsYHH3wAo9GI2bNnIyoqCvv377dpAb9q48ePx7lz56DVapGUlIRevXqZnlu9ejW2b99e57Fz5sxBSkqKza/pDNU9NzVXKb5xET8iIiKyP6t7bl599VXs3LkT8fHx2Lx5M6ZMmYLNmzejoqICv/76K3r37u3IdjY61Yv4uao4LEVERORMVoebX375BatWrcJDDz2E8ePHo2XLlmjdujUWL17swOY1LjKze0tVPag5FMVhKSIiIsez+tP20qVLaNeuHQAgKioKGo0GY8eOdVjDGiNBuP7/6qAjr3EzTFuuliIiIqLbY/WnrdFoNLvGXKFQwN3d3SGNkoLqhfcUNbpzVAqGGyIiIkezelhKEASMGjXKtCBeRUUFxo0bZxFw1q9fb98WNnI1Om6gZLghIiJyOKvDzY2rDz/zzDN2b4wU1RyWIiIiIsezOtysWrXKke2QLAXvC0VERORUHCdxMPbcEBERORfDjYM19bS8aScRERE5jl1uv0B1+8fdzfFnej66tvATuylERER3BIYbB3NRyPHOkE5iN4OIiOiOwWEpIiIikhSGGyIiIpIUhhsiIiKSFIYbIiIikhSGGyIiIpIUhhsiIiKSFIYbO2qqEcRuAhER0R2P69zYUUtv4PXB7XBXkLfYTSEiIrpjMdzY2b+6hMDFxUXsZhAREd2xOCxFREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREksJwQ0RERJLCcENERESSwnBDREREkiJ6uFm6dCkiIyOh0WgQExODXbt21bnv+vXr0a9fPzRt2hReXl7o2rUrfvvtNye2loiIiBo6UcPNunXrMHnyZMycORPJycno2bMnBgwYgIyMjFr337lzJ/r164dNmzYhKSkJffv2xaBBg5CcnOzklhMREVFDJWq4WbRoEcaMGYOxY8eibdu2WLx4MUJDQ7Fs2bJa91+8eDFefvlldOnSBa1atcJbb72FVq1aYePGjU5uORERETVUSrFeuLKyEklJSZg+fbrZ9ri4OOzdu9eqcxiNRhQXF8PX17fOfbRaLbRarelxUVERAECn00Gn091Gy2tXfS57npNqx1o7B+vsHKyz87DWzuGoOttyPtHCTW5uLgwGAwICAsy2BwQEIDs726pzvPvuuygtLcVTTz1V5z7z58/H3LlzLbZv2bIFbm5utjXaComJiXY/J9WOtXYO1tk5WGfnYa2dw951Lisrs3pf0cJNNZlMZvZYEASLbbX55ptvMGfOHPz4449o1qxZnfvNmDEDCQkJpsdFRUUIDQ1FXFwcvLy8br/hN9DpdEhMTES/fv3g4uJit/OSJdbaOVhn52CdnYe1dg5H1bl65MUaooUbf39/KBQKi16anJwci96cG61btw5jxozBt99+i4ceeuim+6rVaqjVaovtLi4uDvnmdtR5yRJr7Ryss3Owzs7DWjuHvetsy7lEm1CsUqkQExNj0W2VmJiIbt261XncN998g1GjRuHrr7/GI4884uhmEhERUSMj6rBUQkICRowYgdjYWHTt2hWffvopMjIyMG7cOABVQ0qZmZlYs2YNgKpgM3LkSLz//vu4//77Tb0+rq6u8Pb2Fu19EBERUcMhargZOnQo8vLyMG/ePGRlZSE6OhqbNm1CeHg4ACArK8tszZtPPvkEer0eL7zwAl544QXT9vj4eKxevdrZzSciIqIGSPQJxePHj8f48eNrfe7GwLJ9+3bHN4iIiIgaNdFvv0BERERkTww3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpDDdEREQkKQw3REREJCkMN0RERCQpooebpUuXIjIyEhqNBjExMdi1a9dN99+xYwdiYmKg0WgQFRWFjz/+2EktJSIiosZA1HCzbt06TJ48GTNnzkRycjJ69uyJAQMGICMjo9b909PTMXDgQPTs2RPJycl49dVXMXHiRHz//fdObjkRERE1VKKGm0WLFmHMmDEYO3Ys2rZti8WLFyM0NBTLli2rdf+PP/4YYWFhWLx4Mdq2bYuxY8di9OjR+O9//+vklhMREVFDpRTrhSsrK5GUlITp06ebbY+Li8PevXtrPWbfvn2Ii4sz29a/f3+sWLECOp0OLi4uFsdotVpotVrT48LCQgBAfn4+dDpdfd+GiU6nQ1lZGfLy8mptB9kPa+0crLNzsM7Ow1o7h6PqXFxcDAAQBOGW+4oWbnJzc2EwGBAQEGC2PSAgANnZ2bUek52dXev+er0eubm5CAoKsjhm/vz5mDt3rsX2yMjIerSeiIiIxFBcXAxvb++b7iNauKkmk8nMHguCYLHtVvvXtr3ajBkzkJCQYHpsNBqRn58PPz+/m76OrYqKihAaGooLFy7Ay8vLbuclS6y1c7DOzsE6Ow9r7RyOqrMgCCguLkZwcPAt9xUt3Pj7+0OhUFj00uTk5Fj0zlQLDAysdX+lUgk/P79aj1Gr1VCr1WbbfHx8br/ht+Dl5cUfGidhrZ2DdXYO1tl5WGvncESdb9VjU020CcUqlQoxMTFITEw0256YmIhu3brVekzXrl0t9t+yZQtiY2M5fkpEREQARL5aKiEhAZ999hlWrlyJ48ePY8qUKcjIyMC4ceMAVA0pjRw50rT/uHHjcP78eSQkJOD48eNYuXIlVqxYgZdeekmst0BEREQNjKhzboYOHYq8vDzMmzcPWVlZiI6OxqZNmxAeHg4AyMrKMlvzJjIyEps2bcKUKVOwZMkSBAcH44MPPsCTTz4p1lswUavVeO211yyGwMj+WGvnYJ2dg3V2HtbaORpCnWWCNddUERERETUSot9+gYiIiMieGG6IiIhIUhhuiIiISFIYboiIiEhSGG7sZOnSpYiMjIRGo0FMTAx27doldpMajfnz56NLly7w9PREs2bN8Pjjj+PkyZNm+wiCgDlz5iA4OBiurq7o06cPjh07ZraPVqvFhAkT4O/vD3d3dwwePBgXL1505ltpVObPnw+ZTIbJkyebtrHO9pOZmYlnnnkGfn5+cHNzQ+fOnZGUlGR6nrWuP71ej//7v/9DZGQkXF1dERUVhXnz5sFoNJr2YZ1vz86dOzFo0CAEBwdDJpPhhx9+MHveXnUtKCjAiBEj4O3tDW9vb4wYMQJXr16t/xsQqN7Wrl0ruLi4CMuXLxdSU1OFSZMmCe7u7sL58+fFblqj0L9/f2HVqlXC0aNHhZSUFOGRRx4RwsLChJKSEtM+CxYsEDw9PYXvv/9eOHLkiDB06FAhKChIKCoqMu0zbtw4oXnz5kJiYqJw+PBhoW/fvkKnTp0EvV4vxttq0A4ePChEREQIHTt2FCZNmmTazjrbR35+vhAeHi6MGjVKOHDggJCeni78/vvvwpkzZ0z7sNb198Ybbwh+fn7Czz//LKSnpwvffvut4OHhISxevNi0D+t8ezZt2iTMnDlT+P777wUAwoYNG8yet1ddH374YSE6OlrYu3evsHfvXiE6Olp49NFH691+hhs7uPfee4Vx48aZbWvTpo0wffp0kVrUuOXk5AgAhB07dgiCIAhGo1EIDAwUFixYYNqnoqJC8Pb2Fj7++GNBEATh6tWrgouLi7B27VrTPpmZmYJcLhc2b97s3DfQwBUXFwutWrUSEhMThd69e5vCDetsP6+88orQo0ePOp9nre3jkUceEUaPHm227YknnhCeeeYZQRBYZ3u5MdzYq66pqakCAGH//v2mffbt2ycAEE6cOFGvNnNYqp4qKyuRlJSEuLg4s+1xcXHYu3evSK1q3AoLCwEAvr6+AID09HRkZ2eb1VitVqN3796mGiclJUGn05ntExwcjOjoaH4dbvDCCy/gkUcewUMPPWS2nXW2n59++gmxsbEYMmQImjVrhrvvvhvLly83Pc9a20ePHj3wxx9/4NSpUwCAv/76C7t378bAgQMBsM6OYq+67tu3D97e3rjvvvtM+9x///3w9vaud+1Fvyt4Y5ebmwuDwWBxs8+AgACLm3zSrQmCgISEBPTo0QPR0dEAYKpjbTU+f/68aR+VSoUmTZpY7MOvw3Vr167F4cOH8eeff1o8xzrbT1paGpYtW4aEhAS8+uqrOHjwICZOnAi1Wo2RI0ey1nbyyiuvoLCwEG3atIFCoYDBYMCbb76Jp59+GgC/px3FXnXNzs5Gs2bNLM7frFmzetee4cZOZDKZ2WNBECy20a29+OKL+Pvvv7F7926L526nxvw6XHfhwgVMmjQJW7ZsgUajqXM/1rn+jEYjYmNj8dZbbwEA7r77bhw7dgzLli0zu18ea10/69atw5dffomvv/4a7du3R0pKCiZPnozg4GDEx8eb9mOdHcMeda1tf3vUnsNS9eTv7w+FQmGRMnNycixSLd3chAkT8NNPP2Hbtm0ICQkxbQ8MDASAm9Y4MDAQlZWVKCgoqHOfO11SUhJycnIQExMDpVIJpVKJHTt24IMPPoBSqTTViXWuv6CgILRr185sW9u2bU33yuP3tH1MmzYN06dPx7/+9S906NABI0aMwJQpUzB//nwArLOj2KuugYGBuHz5ssX5r1y5Uu/aM9zUk0qlQkxMDBITE822JyYmolu3biK1qnERBAEvvvgi1q9fj61btyIyMtLs+cjISAQGBprVuLKyEjt27DDVOCYmBi4uLmb7ZGVl4ejRo/w6XPPggw/iyJEjSElJMf2LjY3F8OHDkZKSgqioKNbZTrp3726xnMGpU6dMNwXm97R9lJWVQS43/xhTKBSmS8FZZ8ewV127du2KwsJCHDx40LTPgQMHUFhYWP/a12s6MgmCcP1S8BUrVgipqanC5MmTBXd3d+HcuXNiN61ReP755wVvb29h+/btQlZWlulfWVmZaZ8FCxYI3t7ewvr164UjR44ITz/9dK2XHYaEhAi///67cPjwYeGBBx644y/nvJWaV0sJAutsLwcPHhSUSqXw5ptvCqdPnxa++uorwc3NTfjyyy9N+7DW9RcfHy80b97cdCn4+vXrBX9/f+Hll1827cM6357i4mIhOTlZSE5OFgAIixYtEpKTk01LnNirrg8//LDQsWNHYd++fcK+ffuEDh068FLwhmTJkiVCeHi4oFKphHvuucd0GTPdGoBa/61atcq0j9FoFF577TUhMDBQUKvVQq9evYQjR46Ynae8vFx48cUXBV9fX8HV1VV49NFHhYyMDCe/m8blxnDDOtvPxo0bhejoaEGtVgtt2rQRPv30U7PnWev6KyoqEiZNmiSEhYUJGo1GiIqKEmbOnClotVrTPqzz7dm2bVutv5fj4+MFQbBfXfPy8oThw4cLnp6egqenpzB8+HChoKCg3u2XCYIg1K/vh4iIiKjh4JwbIiIikhSGGyIiIpIUhhsiIiKSFIYbIiIikhSGGyIiIpIUhhsiIiKSFIYbIiIikhSGGyK6befOnYNMJkNKSorYTTE5ceIE7r//fmg0GnTu3NkhrzFq1Cg8/vjj9T7PnDlzEBAQAJlMhh9++MHivH369MHkyZPr/TpEdxqGG6JGbNSoUZDJZFiwYIHZ9h9++OGOvaPxa6+9Bnd3d5w8eRJ//PGHQ17j/fffx+rVq+t1juPHj2Pu3Ln45JNPkJWVhQEDBljss379erz++uv1eh2iOxHDDVEjp9FosHDhQou77zZmlZWVt33s2bNn0aNHD4SHh8PPz8+OrbrO29sbPj4+9TrH2bNnAQCPPfYYAgMDoVarLfbx9fWFp6dnvV6H6E7EcEPUyD300EMIDAzE/Pnz69xnzpw5FkM0ixcvRkREhOlx9ZDIW2+9hYCAAPj4+GDu3LnQ6/WYNm0afH19ERISgpUrV1qc/8SJE+jWrRs0Gg3at2+P7du3mz2fmpqKgQMHwsPDAwEBARgxYgRyc3NNz/fp0wcvvvgiEhIS4O/vj379+tX6PoxGI+bNm4eQkBCo1Wp07twZmzdvNj0vk8mQlJSEefPmQSaTYc6cOXWeZ+HChWjZsiXUajXCwsLw5ptvmp4/cuQIHnjgAbi6usLPzw/PPfccSkpKLGpVs/0TJ07Eyy+/DF9fXwQGBtb52kDV12PQoEEAALlcXmcv243DUhEREXj99dcxbNgweHh4IDg4GB9++KHFucPCwqBWqxEcHIyJEyfW2Q4iqWK4IWrkFAoF3nrrLXz44Ye4ePFivc61detWXLp0CTt37sSiRYswZ84cPProo2jSpAkOHDiAcePGYdy4cbhw4YLZcdOmTcPUqVORnJyMbt26YfDgwcjLywMAZGVloXfv3ujcuTMOHTqEzZs34/Lly3jqqafMzvH5559DqVRiz549+OSTT2pt3/vvv493330X//3vf/H333+jf//+GDx4ME6fPm16rfbt22Pq1KnIysrCSy+9VOt5ZsyYgYULF2LWrFlITU3F119/jYCAAABAWVkZHn74YTRp0gR//vknvv32W/z+++948cUXb1q7zz//HO7u7jhw4ADefvttzJs3D4mJibXu+9JLL2HVqlWmNmdlZd303DW988476NixIw4fPowZM2ZgypQpptf57rvv8N577+GTTz7B6dOn8cMPP6BDhw5Wn5tIMup9600iEk18fLzw2GOPCYIgCPfff78wevRoQRAEYcOGDULNH+/XXntN6NSpk9mx7733nhAeHm52rvDwcMFgMJi23XXXXULPnj1Nj/V6veDu7i588803giAIQnp6ugBAWLBggWkfnU4nhISECAsXLhQEQRBmzZolxMXFmb32hQsXBADCyZMnBUGoujt5586db/l+g4ODhTfffNNsW5cuXYTx48ebHnfq1El47bXX6jxHUVGRoFarheXLl9f6/Keffio0adJEKCkpMW375ZdfBLlcLmRnZwuCYF736vb36NHDol2vvPJKne248WtU13lr3rU9PDxcePjhh82OGTp0qDBgwABBEATh3XffFVq3bi1UVlbW+bpEdwL23BBJxMKFC/H5558jNTX1ts/Rvn17yOXXfy0EBASY/eWvUCjg5+eHnJwcs+O6du1q+r9SqURsbCyOHz8OAEhKSsK2bdvg4eFh+temTRsA1+edAEBsbOxN21ZUVIRLly6he/fuZtu7d+9uei1rHD9+HFqtFg8++GCdz3fq1Anu7u5mr2E0GnHy5Mk6z9uxY0ezx0FBQRZ1soeata5+XP3+hwwZgvLyckRFReHf//43NmzYAL1eb/c2EDV0DDdEEtGrVy/0798fr776qsVzcrkcgiCYbdPpdBb7ubi4mD2WyWS1bjMajbdsT/U8EqPRiEGDBiElJcXs3+nTp9GrVy/T/jXDhDXnrSYIgk1Xhrm6ut70+Zud72avc7t1sofqdoWGhuLkyZNYsmQJXF1dMX78ePTq1avWrzWRlDHcEEnIggULsHHjRuzdu9dse9OmTZGdnW0WcOy5Ns3+/ftN/9fr9UhKSjL1ztxzzz04duwYIiIi0LJlS7N/1gYaAPDy8kJwcDB2795ttn3v3r1o27at1edp1aoVXF1d67xMvF27dkhJSUFpaalp2549eyCXy9G6dWurX8dRata6+nF1rYGq8DZ48GB88MEH2L59O/bt24cjR444u5lEomK4IZKQDh06YPjw4RZX0PTp0wdXrlzB22+/jbNnz2LJkiX49ddf7fa6S5YswYYNG3DixAm88MILKCgowOjRowEAL7zwAvLz8/H000/j4MGDSEtLw5YtWzB69GgYDAabXmfatGlYuHAh1q1bh5MnT2L69OlISUnBpEmTrD6HRqPBK6+8gpdffhlr1qzB2bNnsX//fqxYsQIAMHz4cGg0GsTHx+Po0aPYtm0bJkyYgBEjRpgmHYtpz549ePvtt3Hq1CksWbIE3377ren9r169GitWrMDRo0eRlpaGL774Aq6urggPDxe51UTOxXBDJDGvv/66xRBU27ZtsXTpUixZsgSdOnXCwYMH67yS6HYsWLAACxcuRKdOnbBr1y78+OOP8Pf3BwAEBwdjz549MBgM6N+/P6KjozFp0iR4e3ubze+xxsSJEzF16lRMnToVHTp0wObNm/HTTz+hVatWNp1n1qxZmDp1KmbPno22bdti6NChpvkxbm5u+O2335Cfn48uXbrgn//8Jx588EF89NFHNr2Go0ydOhVJSUm4++678frrr+Pdd99F//79AQA+Pj5Yvnw5unfvjo4dO+KPP/7Axo0bHbbeD1FDJRNu/C1IREQNUkREBCZPnsxbMhDdAntuiIiISFIYboiIiEhSOCxFREREksKeGyIiIpIUhhsiIiKSFIYbIiIikhSGGyIiIpIUhhsiIiKSFIYbIiIikhSGGyIiIpIUhhsiIiKSFIYbIiIikpT/B1x+xBdOBbeKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化均值随次数变化\n",
    "plt.plot(range(1, num_flips + 1), running_means)\n",
    "plt.axhline(0.5, color = 'r')\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Running Mean\")\n",
    "plt.grid(True)\n",
    "plt.ylim(0,1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
